406868820 has 96 divisors (see below), whose sum is σ = 1212019200. Its totient is φ = 101627904.

The previous prime is 406868807. The next prime is 406868821. The reversal of 406868820 is 28868604.

406868820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406868821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242946 + ... + 244614.

It is an arithmetic number, because the mean of its divisors is an integer number (12625200).

Almost surely, 2^406868820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406868820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606009600).

406868820 is an abundant number, since it is smaller than the sum of its proper divisors (805150380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406868820 is a wasteful number, since it uses less digits than its factorization.

406868820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 406868820 is about 20170.9895642232. The cubic root of 406868820 is about 740.9998779779. Note that the first 3 decimals are identical.

The spelling of 406868820 in words is "four hundred six million, eight hundred sixty-eight thousand, eight hundred twenty".